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Finding the Third Proportional to 668,186 and 1,456,970

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Solution

The third proportional to 668,186 and 1,456,970 is: 3,176,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,186 : 1,456,970 = 1,456,970 : x
  2. Step 2: Convert to fraction form
    668,186/1,456,970 = 1,456,970/x
  3. Step 3: Cross multiply
    668,186x = 1,456,970 × 1,456,970
  4. Step 4: Simplify right side
    668,186x = 2,122,761,580,900
  5. Step 5: Solve for x
    x = 2,122,761,580,900/668,186
  6. Step 6: Final answer
    x = 3,176,902.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.